Methods of Celestial Mechanics: Volume I: Physical, Mathematical, and Numerical Principles: Astronomy and Astrophysics Library
Autor Gerhard Beutler Leos Mervart, Andreas Verdunen Limba Engleză Paperback – 11 sep 2010
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Specificații
ISBN-13: 9783642148576
ISBN-10: 3642148573
Pagini: 465
Ilustrații: XVI, 466 p.
Dimensiuni: 155 x 235 x 30 mm
Greutate: 0.81 kg
Ediția:2005
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Astronomy and Astrophysics Library
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642148573
Pagini: 465
Ilustrații: XVI, 466 p.
Dimensiuni: 155 x 235 x 30 mm
Greutate: 0.81 kg
Ediția:2005
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Astronomy and Astrophysics Library
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
GraduateDescriere
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.
Cuprins
Physical, Mathematical, and Numerical Principles.- Overview of the Work.- Historical Background.- The Equations of Motion.- The Two- and the Three-Body Problems.- Variational Equations.- Theory of Perturbations.- Numerical Solution of Ordinary Differential Equations: Principles and Concepts.- Orbit Determination and Parameter Estimation.
Textul de pe ultima copertă
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathematics and engineering as well as an excellent reference for practitioners. This Volume I gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. After a brief review of the history of celestial mechanics, the equations of motion (Newtonian and relativistic versions) are developed for planetary systems (N-body-problem), for artificial Earth satellites, and for extended bodies (which includes the problem of Earth and lunar rotation). Perturbation theory is outlined in an elementary way from generally known mathematical principles without making use of the advanced tools of analytical mechanics. The variational equations associated with orbital motion - of fundamental importance for parameter estimation (e.g., orbit determination), numerical error propagation, and stability considerations - are introduced and their properties discussed in considerable detail. Numerical methods, especially for orbit determination and orbit improvement, are discussed in considerable depth. The algorithms may be easily applied to objects of the planetary system and to Earth satellites and space debris.
Caracteristici
Paperback edition of successfull graduate textbook
Gives a detailed introduction into the theoretical concepts of celestial mechanics as used in planetary sciences and satellite navigation
Addresses numerical techniques and gps navigation
G. Beutler is an internationally known expert
Includes supplementary material: sn.pub/extras
Gives a detailed introduction into the theoretical concepts of celestial mechanics as used in planetary sciences and satellite navigation
Addresses numerical techniques and gps navigation
G. Beutler is an internationally known expert
Includes supplementary material: sn.pub/extras
Recenzii
From the reviews of the first edition:
"The book is a good treatise on celestial mechanics and applications; it contains many details, and it is very interesting to read. … the book can be a good reference for students under the guidance of a lecturer. … Volume II is essentially devoted to applications in the field of geodesy and the evolution of the planetary system." (Josep J. Masdemont, Mathematical Reviews, Issue 2006 j)
"The book is a good treatise on celestial mechanics and applications; it contains many details, and it is very interesting to read. … the book can be a good reference for students under the guidance of a lecturer. … Volume II is essentially devoted to applications in the field of geodesy and the evolution of the planetary system." (Josep J. Masdemont, Mathematical Reviews, Issue 2006 j)